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12939091200 = 283352719563
BaseRepresentation
bin11000000110011101…
…01101110100000000
31020101202011221022000
430003032231310000
5202444401404300
65535533344000
7635433313650
oct140316556400
936352157260
1012939091200
11553a863802
122611338000
1312b28971a9
148aa632360
1550ae1ec00
hex3033add00

12939091200 has 864 divisors, whose sum is σ = 57179673600. Its totient is φ = 2796871680.

The previous prime is 12939091199. The next prime is 12939091237. The reversal of 12939091200 is 219093921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22982119 + ... + 22982681.

Almost surely, 212939091200 is an apocalyptic number.

12939091200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12939091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28589836800).

12939091200 is an abundant number, since it is smaller than the sum of its proper divisors (44240582400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12939091200 is a wasteful number, since it uses less digits than its factorization.

12939091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 12939091200 in words is "twelve billion, nine hundred thirty-nine million, ninety-one thousand, two hundred".